Trigonometry Examples

$\sec (x) \sin (x) \cot (x)$

Step 1

Rewrite $\sec (x)$ in terms of sines and cosines.

$\frac{1}{\cos (x)} \sin (x) \cot (x)$

Step 2

Combine $\frac{1}{\cos (x)}$ and $\sin (x)$ .

$\frac{\sin (x)}{\cos (x)} \cot (x)$

Step 3

Rewrite $\cot (x)$ in terms of sines and cosines.

$\frac{\sin (x)}{\cos (x)} \cdot \frac{\cos (x)}{\sin (x)}$

Step 4

Cancel the common factor of $\sin (x)$ .

Tap for more steps...

Step 4.1

Cancel the common factor.

$\frac{\sin (x)}{\cos (x)} \cdot \frac{\cos (x)}{\sin (x)}$

Step 4.2

Rewrite the expression.

$\frac{1}{\cos (x)} \cos (x)$

Step 5

Cancel the common factor of $\cos (x)$ .

Tap for more steps...

Step 5.1

Cancel the common factor.

$\frac{1}{\cos (x)} \cos (x)$

Step 5.2

Rewrite the expression.

$1$